From 90ed80a6e0249fc2191081f14457a79604998067 Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Fri, 7 Jun 2024 00:06:19 +0800 Subject: [PATCH 1/5] =?UTF-8?q?=E6=89=B9=E9=87=8F=E6=94=B6=E5=BD=95?= =?UTF-8?q?=E6=96=B0=E9=A2=98=E7=9A=84=E6=96=B0=E9=A2=98=E6=AF=94=E5=AF=B9?= =?UTF-8?q?=E5=8A=9F=E8=83=BD=E4=BF=AE=E6=94=B9?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具v4/批量收录新题.py | 25 +++++++++---------------- 1 file changed, 9 insertions(+), 16 deletions(-) diff --git a/工具v4/批量收录新题.py b/工具v4/批量收录新题.py index d249b8e0..ddeb21b6 100644 --- a/工具v4/批量收录新题.py +++ b/工具v4/批量收录新题.py @@ -51,33 +51,24 @@ class MyWindow_bdsl(QWidget,Ui_Form): problems_raw = re.findall(r"\\begin\{enumerate\}([\s\S]*?)\\end\{enumerate\}",data_raw) data = "\n".join([item.strip() for item in problems_raw]) problems = [(d.strip()) for d in data.split("\\item") if not d.strip() == ""] - output = "使用说明:\\\\\n rep??????表示使用已有题号??????,\\\\\n s??????表示和??????相同,\\\\\n r??????表示和??????相关\n\n\\begin{enumerate}\n\n" + output = "使用说明:\\\\\n ??????(rep)表示使用已有题号??????,\\\\\n ??????(s)表示和??????相同,\\\\\n ??????(r)表示和??????相关\n\n\\begin{enumerate}\n\n" for p in problems: p_treated = pre_treating(p) t = stringmaxsim(p_treated,treated_dict,5) - psrstring = "" - for id,simrate in t: - if simrate == 1: - psrstring = "rep"+id+"," - elif simrate > 0.5: - psrstring += id + "," - if psrstring[-1] == ",": - psrstring = psrstring[:-1] - if len(psrstring) > 0: - output += f"\\item [{psrstring}] {p}\n\n" - else: - output += f"\\item {p}\n\n" + output += f"\\item {p}\n\n" count = 0 for id,simrate in t: if simrate > 0.5: colors = get_color(simrate*2-1) output += "\n\\definecolor{mycolor}{rgb}"+colors - output += "\n\\begin{tcolorbox}"+f"[colback = mycolor, opacityback = 0.25, colframe = orange!10!white, breakable]\n" - output += f"{simrate:.3f} \\ {id}\n\n" + output += "\n\\begin{tcolorbox}"+f"[colback = mycolor, opacityback = 0.25, colframe = orange!10!white, breakable]\n\n" + output += "\\begin{flushright}\\begin{Large}\n" + output += f"{simrate:.3f} \\ {id}()\n" + output += "\\end{Large}\\end{flushright}" content = pro_dict[id] - output += f"{content}\n" + output += f"\n{content}\n" output += "\\end{tcolorbox}\n" count += 1 output += "\n\n" @@ -130,6 +121,8 @@ class MyWindow_bdsl(QWidget,Ui_Form): self.db.commit() self.db.close() print("已提交至数据库") + self.pushButton_commit.setDisabled(True) + self.problemstoimport = [] From d288a7bf48df38d514c954c8e06b268b6dfbdddf Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Fri, 7 Jun 2024 07:00:23 +0800 Subject: [PATCH 2/5] =?UTF-8?q?=E6=89=B9=E9=87=8F=E6=94=B6=E5=BD=95?= =?UTF-8?q?=E6=96=B0=E9=A2=98=E4=BF=AE=E6=94=B9=E4=B8=AD?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具v4/database_tools_2.py | 60 ++++++++++++++++++++++++++++++++++++++ 工具v4/批量收录新题.py | 6 ++-- 2 files changed, 63 insertions(+), 3 deletions(-) diff --git a/工具v4/database_tools_2.py b/工具v4/database_tools_2.py index f1e4e992..bda66771 100644 --- a/工具v4/database_tools_2.py +++ b/工具v4/database_tools_2.py @@ -433,6 +433,66 @@ def GenerateProblemListFromString(data): #从来自.tex文件的字符串生成 return problem_list #返回一个列表, 每一项是一个由 题目内容 和 题目来源前缀 组成的元组 +def GenerateProblemListFromString202406(data): #从data字符串生成题目列表, 每个item是一道题目, 题目后有色块的准关联题目的flushright块中的信息表示交互信息(如(003214rep)表示不添加, 用003214代替; (002521s)表示和002521相同, (000354r)表示和000354相关, 返回二元组(题目内容, 交互信息列表)的字典 + try: + data = re.findall(r"\\begin\{document\}([\s\S]*?)\\end\{document\}",data)[0] + except: + pass + data = data + "\n\\end{enumerate}" + data = re.sub(r"\n{2,}","\n",data) + # data = re.sub(r"\\definecolor[^\n]*\n","\n",data) + # data = re.sub(r"\\begin\{tcolorbox\}[\s\S]*?\\end\{tcolorbox\}","\n",data) + data = re.sub(r"\\item",r"\\enditem\\item",data) + data = re.sub(r"\\end\{enumerate\}",r"\\enditem",data) #切除无关信息, 保留关键信息 + problempositions = [] + for item in re.finditer(r"\\item([\s\S]*?)\\enditem",data): + problempositions.append(item.regs[1]) #确定题目内容所在位置 + problem_list = [] + for pos in problempositions: + content_raw = data[pos[0]:pos[1]].strip() + sim_problems = re.findall(r"\\definecolor[\s\S]*?\\end\{tcolorbox\}",content_raw) + for sim_p in sim_problems: + #处理meta待修改 + content_raw = content_raw.replace(sim_p,"") + content = content_raw.strip() + #以下待修改----20240607 + + content_raw = re.sub(r"\n\%[\s\S]*$","",content_raw) #题目内容 + content_raw = re.sub(r"\\\\$","",content_raw) # 删去题目最后一行处可能存在的\\ + content_raw = content_raw.strip() # 删去前后多余的空格 + meta = {} + if not content_raw[0] == "[": # 根据方括号内的内容生成交互信息, 这是无方括号的内容, 无meta + content = content_raw + else: + same_id_list = [] + related_id_list = [] + unrelated_id_list = [] + content = re.sub(r"^\[[A-Za-z\d,\s]*?\]","",content_raw).strip() + metaraw = re.findall(r"\[.*?\]",content_raw)[0] + metaraw = re.sub(r"[\[\]]","",metaraw) + metalist = metaraw.split(",") + for metaitem in metalist: + metaitem = metaitem.upper() + if metaitem.startswith("REP"): + meta = {"rep":metaitem[3:].zfill(6)} + elif metaitem.startswith("S"): + same_id_list.append(metaitem[1:].zfill(6)) + elif metaitem.startswith("R"): + related_id_list.append(metaitem[1:].zfill(6)) + elif metaitem.startswith("U"): + unrelated_id_list.append(metaitem[1:].zfill(6)) + if not "rep" in meta: + meta = {"same":same_id_list,"related":related_id_list,"unrelated":unrelated_id_list} + subdata = data[:pos[0]] #开始寻找出处中缀 + suflist = re.findall(r"\n(\%\s{0,}[\S]+)\n",subdata) + if len(suflist) == 0: + suffix = "" + else: + suffix = suflist[-1].replace("%","").strip() + problem_list.append((content,suffix,meta)) + return problem_list #返回一个列表, 每一项是一个由 题目内容 和 题目来源前缀 和 交互信息字典 组成的元组 + + def GenerateProblemListFromString2024(data): #从来自.tex文件的字符串生成题目列表, 每个item是一道题目, 新一行的%用作前缀, item后面的方括号放与题库的交互信息(如[rep3214]表示不添加, 用003214代替; [s2521;r354;u10021,20024]表示和2521相同, 和354相关, 和10021,20024无关), 返回三元组(题目内容, 题目来源前缀, 交互信息列表)的字典 try: data = re.findall(r"\\begin\{document\}([\s\S]*?)\\end\{document\}",data)[0] diff --git a/工具v4/批量收录新题.py b/工具v4/批量收录新题.py index ddeb21b6..8255c827 100644 --- a/工具v4/批量收录新题.py +++ b/工具v4/批量收录新题.py @@ -65,7 +65,7 @@ class MyWindow_bdsl(QWidget,Ui_Form): output += "\n\\definecolor{mycolor}{rgb}"+colors output += "\n\\begin{tcolorbox}"+f"[colback = mycolor, opacityback = 0.25, colframe = orange!10!white, breakable]\n\n" output += "\\begin{flushright}\\begin{Large}\n" - output += f"{simrate:.3f} \\ {id}()\n" + output += f"相似度: {simrate:.3f} \\ {id}()\n" output += "\\end{Large}\\end{flushright}" content = pro_dict[id] output += f"\n{content}\n" @@ -89,9 +89,9 @@ class MyWindow_bdsl(QWidget,Ui_Form): else: Indexed = False idlistpath = "文本文件/新题收录列表.txt" - problems = GenerateProblemListFromString2024(data) + problems = GenerateProblemListFromString2024(data) #待修改（检测题目方式有变） # pro_dict = load_dict("../题库0.3/Problems.json") - nextspareid = NextSpareID(starting_id,self.database_name) + nextspareid = NextSpareID(starting_id,self.database_name) #待修改（检测空白块数大小） self.db = connect(hostname = db_host, port= db_port, username= db_user, pwd = db_pwd, db= self.database_name) self.cursor = self.db.cursor() rolled_back = False From 769428ac6d36aa110a9fd2bf71329f7eb437eff0 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Fri, 7 Jun 2024 10:39:28 +0800 Subject: [PATCH 3/5] =?UTF-8?q?=E6=89=B9=E9=87=8F=E6=94=B6=E5=BD=95?= =?UTF-8?q?=E9=A2=98=E7=9B=AE=E5=8A=9F=E8=83=BD=E6=9B=B4=E6=96=B0=E5=AE=8C?= =?UTF-8?q?=E6=88=90?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具v4/database_tools_2.py | 62 ++++++++++++++++++-------------------- 工具v4/批量收录新题.py | 7 +++-- 2 files changed, 34 insertions(+), 35 deletions(-) diff --git a/工具v4/database_tools_2.py b/工具v4/database_tools_2.py index bda66771..4b5ac898 100644 --- a/工具v4/database_tools_2.py +++ b/工具v4/database_tools_2.py @@ -393,6 +393,18 @@ def NextSpareID(num,database): #返回adict中下一个空闲的题号 mydb.close() return num +def NextSpareIDseries(num,cursor,length): #返回adict中以num起始, 连续长度至少为length的下一个空闲的题号 + cursor.execute("SELECT ID FROM problems;") + idlist = [ret[0] for ret in cursor.fetchall()] + idset = set(idlist) + num = int(num) + numset = set([str(num+i).zfill(6) for i in range(length)]) + while len(idset & numset) >= 1: + numset.remove(str(num).zfill(6)) + numset.add(str(num+length).zfill(6)) + num += 1 + return num + def NextSpareIDBlock(num,database): #返回adict中下一个空闲的题号块 mydb = connect(hostname = db_host, port = db_port, username=db_user, pwd=db_pwd, db = database) mycursor = mydb.cursor() @@ -433,15 +445,13 @@ def GenerateProblemListFromString(data): #从来自.tex文件的字符串生成 return problem_list #返回一个列表, 每一项是一个由 题目内容 和 题目来源前缀 组成的元组 -def GenerateProblemListFromString202406(data): #从data字符串生成题目列表, 每个item是一道题目, 题目后有色块的准关联题目的flushright块中的信息表示交互信息(如(003214rep)表示不添加, 用003214代替; (002521s)表示和002521相同, (000354r)表示和000354相关, 返回二元组(题目内容, 交互信息列表)的字典 +def GenerateNewProblemDataFromString2024(data): #从data字符串生成题目列表, 每个item是一道题目, 题目后有色块的准关联题目的flushright块中的信息表示交互信息(如(003214rep)表示不添加, 用003214代替; (002521s)表示和002521相同, (000354r)表示和000354相关, 返回三元组(题目内容, 中缀, 交互信息列表)的字典 try: data = re.findall(r"\\begin\{document\}([\s\S]*?)\\end\{document\}",data)[0] except: pass data = data + "\n\\end{enumerate}" data = re.sub(r"\n{2,}","\n",data) - # data = re.sub(r"\\definecolor[^\n]*\n","\n",data) - # data = re.sub(r"\\begin\{tcolorbox\}[\s\S]*?\\end\{tcolorbox\}","\n",data) data = re.sub(r"\\item",r"\\enditem\\item",data) data = re.sub(r"\\end\{enumerate\}",r"\\enditem",data) #切除无关信息, 保留关键信息 problempositions = [] @@ -450,39 +460,26 @@ def GenerateProblemListFromString202406(data): #从data字符串生成题目列 problem_list = [] for pos in problempositions: content_raw = data[pos[0]:pos[1]].strip() + meta = {"same":[],"related":[],"unrelated":[]} sim_problems = re.findall(r"\\definecolor[\s\S]*?\\end\{tcolorbox\}",content_raw) for sim_p in sim_problems: - #处理meta待修改 + metainfo = re.findall(r"相似度:[\s]*\d\.\d{3}[\\\s]*?(\d{6})\(([\s\S]*?)\)",sim_p) + if len(metainfo) == 1: + id,metatype = metainfo[0] + metatype = metatype.upper() + if metatype.startswith("REP"): + meta["rep"] = id.zfill(6) + elif metatype.startswith("S"): + meta["same"].append(id.zfill(6)) + elif metatype.startswith("R"): + meta["related"].append(id.zfill(6)) + elif metatype.startswith("U"): + meta["unrelated"].append(id.zfill(6)) content_raw = content_raw.replace(sim_p,"") content = content_raw.strip() - #以下待修改----20240607 - - content_raw = re.sub(r"\n\%[\s\S]*$","",content_raw) #题目内容 - content_raw = re.sub(r"\\\\$","",content_raw) # 删去题目最后一行处可能存在的\\ - content_raw = content_raw.strip() # 删去前后多余的空格 - meta = {} - if not content_raw[0] == "[": # 根据方括号内的内容生成交互信息, 这是无方括号的内容, 无meta - content = content_raw - else: - same_id_list = [] - related_id_list = [] - unrelated_id_list = [] - content = re.sub(r"^\[[A-Za-z\d,\s]*?\]","",content_raw).strip() - metaraw = re.findall(r"\[.*?\]",content_raw)[0] - metaraw = re.sub(r"[\[\]]","",metaraw) - metalist = metaraw.split(",") - for metaitem in metalist: - metaitem = metaitem.upper() - if metaitem.startswith("REP"): - meta = {"rep":metaitem[3:].zfill(6)} - elif metaitem.startswith("S"): - same_id_list.append(metaitem[1:].zfill(6)) - elif metaitem.startswith("R"): - related_id_list.append(metaitem[1:].zfill(6)) - elif metaitem.startswith("U"): - unrelated_id_list.append(metaitem[1:].zfill(6)) - if not "rep" in meta: - meta = {"same":same_id_list,"related":related_id_list,"unrelated":unrelated_id_list} + if "rep" in meta: + repid = meta["rep"] + meta = {"rep": id} subdata = data[:pos[0]] #开始寻找出处中缀 suflist = re.findall(r"\n(\%\s{0,}[\S]+)\n",subdata) if len(suflist) == 0: @@ -490,6 +487,7 @@ def GenerateProblemListFromString202406(data): #从data字符串生成题目列 else: suffix = suflist[-1].replace("%","").strip() problem_list.append((content,suffix,meta)) + # print(content,suffix,meta) return problem_list #返回一个列表, 每一项是一个由 题目内容 和 题目来源前缀 和 交互信息字典 组成的元组 diff --git a/工具v4/批量收录新题.py b/工具v4/批量收录新题.py index 8255c827..883a9fa5 100644 --- a/工具v4/批量收录新题.py +++ b/工具v4/批量收录新题.py @@ -65,7 +65,7 @@ class MyWindow_bdsl(QWidget,Ui_Form): output += "\n\\definecolor{mycolor}{rgb}"+colors output += "\n\\begin{tcolorbox}"+f"[colback = mycolor, opacityback = 0.25, colframe = orange!10!white, breakable]\n\n" output += "\\begin{flushright}\\begin{Large}\n" - output += f"相似度: {simrate:.3f} \\ {id}()\n" + output += f"相似度: {simrate:.3f} \\ {id}({'rep' if simrate == 1 else ''})\n" output += "\\end{Large}\\end{flushright}" content = pro_dict[id] output += f"\n{content}\n" @@ -89,11 +89,12 @@ class MyWindow_bdsl(QWidget,Ui_Form): else: Indexed = False idlistpath = "文本文件/新题收录列表.txt" - problems = GenerateProblemListFromString2024(data) #待修改（检测题目方式有变） + problems = GenerateNewProblemDataFromString2024(data) + problem_count = len(problems) # pro_dict = load_dict("../题库0.3/Problems.json") - nextspareid = NextSpareID(starting_id,self.database_name) #待修改（检测空白块数大小） self.db = connect(hostname = db_host, port= db_port, username= db_user, pwd = db_pwd, db= self.database_name) self.cursor = self.db.cursor() + nextspareid = NextSpareIDseries(starting_id,self.db.cursor(),problem_count) #待修改（检测空白块数大小） rolled_back = False idlist,newproblemlist = AddProblemstoDict2024nocommit(nextspareid,raworigin,problems,editor,Indexed,self.cursor) for p in newproblemlist: From 2378124cd2c7ec8e81e74a61e5b4b05c8beab43b Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Fri, 7 Jun 2024 22:47:06 +0800 Subject: [PATCH 4/5] =?UTF-8?q?=E5=BD=95=E5=85=A5=E6=88=AA=E8=87=B32024060?= =?UTF-8?q?7-2240=E7=9A=84=E5=90=84=E5=B9=B4=E7=BA=A7=E7=AD=94=E6=A1=88?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具v4/文本文件/metadata.txt | 2895 +++++++++++++--------------------- 1 file changed, 1064 insertions(+), 1831 deletions(-) diff --git a/工具v4/文本文件/metadata.txt b/工具v4/文本文件/metadata.txt index bf11271b..319713b6 100644 --- a/工具v4/文本文件/metadata.txt +++ b/工具v4/文本文件/metadata.txt @@ -1,2362 +1,1595 @@ -usages +ans +032149 +$32$ -041168 -20240603 2026届高一10班 0.821 +032159 +${2}$ +032160 +$(-\infty,-1)\cup (1,+\infty)$ -041170 -20240603 2026届高一10班 1.000 +032161 +$48.5$ +032162 +$4-3\mathrm{i}$ -041171 -20240603 2026届高一10班 0.974 +032163 +$\frac{13}{4}$ +032164 +$35$ -041173 -20240603 2026届高一10班 0.949 +032165 +$\dfrac{24}{7}$ +032166 +$12$ -041174 -20240603 2026届高一10班 0.949 +032167 +$(-1,1)$ +032168 +$\dfrac{3}{5}$ -041175 -20240603 2026届高一10班 0.462 +032169 +$[\sqrt{2},+\infty)$ +032170 +$-5$ -041176 -20240603 2026届高一10班 0.974 +032171 +D +032172 +B -040300 -20240603 2026届高一10班 0.974 +032173 +C +032174 +B -023654 -20240603 2026届高一10班 0.974 +032175 +$(1)\dfrac{2\sqrt{2}\pi}{3};\quad(2)\mathrm{arctan}\dfrac{\sqrt{13}}{13}$ +032176 +$(1)\dfrac{\pi}{6};\quad(2)\sqrt{7}$ -041191 -20240603 2026届高一10班 0.897 +032177 +$(1)\chi^2 \approx 35.428; \quad (2)\dfrac{705}{833}$ +032178 +$(1)|PF|=\dfrac{15}{14}; \quad (2) k_{PM}=-\dfrac{\sqrt{5}}{2}; \quad (3)(\dfrac{11}{7},\dfrac{15}{14})$ -041192 -20240603 2026届高一10班 0.872 +032179 +(1)具有性质$P$,理由略; $\quad$ (2)$(-\infty,0); \quad$ (3)具有性质$P$,所有公差的取值集合为$\{1,2\}$ +032184 +$\dfrac{2}{3}$ -041193 -20240603 2026届高一10班 0.821 +032185 +$(-\dfrac{6}{5},-\dfrac{3}{5})$ +032186 +$\{0,\dfrac{\sqrt{3}}{2},-\dfrac{\sqrt{3}}{2}\}$ -041194 -20240603 2026届高一10班 0.872 +032187 +C +032188 +A -041177 -20240603 2026届高一10班 0.897 +030993 +A +032189 +B -041178 -20240603 2026届高一10班 0.897 0.872 +032190 +(1)证明略; $\quad$ (2)正切值为$\dfrac{\sqrt{5}}{5}$ +032191 +(1)$2\sqrt{6}$; $\quad$ (2)$(\dfrac{1}{2},\dfrac{\sqrt{2}}{2})$ -024850 -20240603 2026届高一10班 1.000 0.872 0.949 0.872 0.744 0.897 0.974 0.795 +032192 +(1)$300$; $\quad$ (2)$0.8186$; $\quad$ (3)$Y \sim \begin{pmatrix} 0 & 1 & 2 & 3 \\ \dfrac{1}{20} & \dfrac{9}{20} & \dfrac{9}{20} & \dfrac{1}{20} \end{pmatrix},E[Y]=\dfrac{3}{2}$ +032193 +(1)$\dfrac{\sqrt{6}}{3}$; $\quad$ (2)$\dfrac{4}{3}$或$\dfrac{4\sqrt{6}}{9}$ $\quad$(3)$P(1,1)$ -041197 -20240603 2026届高一10班 0.872 0.744 0.821 0.744 +032194 +(1)$a=1$; $\quad$ (2)存在; $\quad$ (3)不存在 +032200 +$-1$ -041168 -20240603 2026届高一11班 0.972 +032201 +$\{0,1,2\}$ +032202 +$-1$ -041170 -20240603 2026届高一11班 0.861 +032203 +$24$ +032204 +$10$ -041171 -20240603 2026届高一11班 0.917 +032205 +$1-\mathrm{e}$ +032206 +$\pm \dfrac{5}{2}$ -041173 -20240603 2026届高一11班 0.972 +032207 +$\dfrac{6}{7}$ +032208 +$\dfrac{\sqrt{5}}{3}$ -041174 -20240603 2026届高一11班 0.944 +032209 +$(-3,-\dfrac{1}{3}$ +032210 +$195$ -041175 -20240603 2026届高一11班 0.972 +032211 +D +032212 +C -041176 -20240603 2026届高一11班 0.889 +032213 +C +032214 +A -040300 -20240603 2026届高一11班 0.972 +032215 +(1)证明略; $\quad$ (2)$\dfrac{2\sqrt{5}}{5}$ +004285 +(1)$f_{\mathrm{max}}(x)=3, T=\pi$; $\quad$ (2)$\dfrac{\sqrt{3}}{4}$ -023654 -20240603 2026届高一11班 0.944 +032216 +(1)$\sqrt{3}$; $\quad$ (2)证明略; $\quad$ (3)$m=\sqrt{14}$时$P(-\dfrac{6\sqrt{14}}{7},0)$,$\quad$ $m=-\sqrt{14}$时$P(\dfrac{6\sqrt{14}}{7},0)$ +032217 +(1)$m \geq 1$; $\quad$ (2)存在, 如$a_n=n\pi$(满足$\sin{a_n}=0$或者$\cos{d}=1$的数列$\{a_n\}$，只要不是常数列，都可以，其余数列不行)； $\quad$ (3)$(k,b)=(-1,1)$或$(\dfrac{1}{2},\dfrac{2\pi}{3}-\dfrac{\sqrt{3}}{2})$ -041191 -20240603 2026届高一11班 0.861 +032437 +$2$ +014707 +$3$ -041192 -20240603 2026届高一11班 0.944 +030772 +$\pi$ +032438 +$15$ -041193 -20240603 2026届高一11班 0.778 +032439 +$10$ +032440 +$9$ -041194 -20240603 2026届高一11班 0.861 +032441 +$\dfrac{2}{3}$ +032442 +$\dfrac{3}{2}$ -041177 -20240603 2026届高一11班 0.889 +032443 +$\dfrac{1}{3}$ +032444 +$\dfrac{\sqrt{5}}{2}$ -041178 -20240603 2026届高一11班 0.917 0.944 +032445 +$(-\infty,-2] \cup [-\dfrac{1}{2},+\infty)$ +032446 +{50,55} -024850 -20240603 2026届高一11班 1.000 0.972 0.972 0.972 0.833 1.000 0.889 0.556 +032447 +D +031003 +D -041197 -20240603 2026届高一11班 0.889 0.833 0.833 0.861 +032448 +A +032449 +D -041168 -20240603 2026届高一12班 0.780 +032450 +(1)$\dfrac{\pi}{3}$; $\quad$ (2)$3+\sqrt{3}$ +032451 +(1)$\arccos{\dfrac{\sqrt{5}}{10}}$(即$\arctan{\sqrt{19}}$或$\arcsin{\dfrac{19\sqrt{5}}{10}}$); $\quad$ (2) $\dfrac{6}{5}$ -041170 -20240603 2026届高一12班 0.927 +032452 +(1)$\chi^2 \approx 3.414$,这两类人群的性别没有显著差异; $\quad$ (2)$9$人 +032453 +(1)$(-1,-\dfrac{8}{3})$; $\quad$ (2) $y=\dfrac{4}{3}x+\dfrac{2}{3}$或$y=\dfrac{2}{3}x+\dfrac{4}{3}$; $\quad$ (3)$|PR|=\dfrac{4(s+1)\sqrt{s+1}}{s}$, $|PR|_\mathrm{min}=6\sqrt{3}$ -041171 -20240603 2026届高一12班 0.829 +032454 +(1)$-3,-2,-1,0,1$; $\quad$ (2)证明略; $\quad$ (3)$f(x_0) < 0, a\in [-\dfrac{\mathrm{e}}{\mathrm{e}+1},0)$ +032234 +$(1,4)$ -041173 -20240603 2026届高一12班 0.927 +032235 +$x=-2$ +032236 +$\dfrac{1-\mathrm{i}}{2}$ -041174 -20240603 2026届高一12班 0.878 +032237 +$\dfrac{7}{9}$ +032238 +$45$ -041175 -20240603 2026届高一12班 0.512 +032239 +$2^n$ +032240 +$\dfrac{\pi}{4}$ -041176 -20240603 2026届高一12班 0.927 +032241 +$(0,1)$ +032242 +$2$ -040300 -20240603 2026届高一12班 0.927 +032243 +$60$ +032244 +$134$ -023654 -20240603 2026届高一12班 0.976 +032245 +$(\arccos{\dfrac{1}{8}},\pi)$ +032246 +D -041191 -20240603 2026届高一12班 0.951 +032247 +C +032248 +B -041192 -20240603 2026届高一12班 0.927 +032249 +C +032250 +(1)证明略; $\quad$ (2)$2\sqrt{2}$ -041193 -20240603 2026届高一12班 0.780 +032251 +(1)不是奇函数也不是偶函数; $\quad$ (2)$c=\dfrac{3\sqrt{3} \pm \sqrt{7}}{2}$ +032252 +(1)$88.5$; $\quad$ (2) $\dfrac{1}{20}$; $\quad$ (3)$\chi^2 \approx 7.62$,有$95\%$的把握认为两种生产方式的工作效率有显著差异 -041194 -20240603 2026届高一12班 0.927 +032253 +(1)$\dfrac{x^2}{4}+y^2=1$; $\quad$ (2)$G(-\dfrac{4}{3},\dfrac{1}{3}$; $\quad$ (3)$x+2y=0$ +032254 +(1)证明略; $\quad$ (2)$[-1,+\infty)$; (3)证明略 -041177 -20240603 2026届高一12班 0.902 +024274 +$(-1,2)$ +024275 +$2+\mathrm{i}$ -041178 -20240603 2026届高一12班 0.927 0.927 +024276 +$\dfrac{9}{2}$ +017614 +$-\dfrac{7}{25}$ -024850 -20240603 2026届高一12班 1.000 0.951 0.976 0.902 0.854 0.976 1.000 0.829 +024277 +$\dfrac{7}{2}$ +024278 +$-\dfrac{1}{2\mathrm{e}}$ -041197 -20240603 2026届高一12班 0.829 0.756 0.780 0.805 +024279 +$-160$ +011354 +$\dfrac{16}{51}$ -041168 -20240603 2026届高一01班 0.895 +024217 +A +024280 +D -041170 -20240603 2026届高一01班 1.000 +024281 +$(-1,4)$ +024282 +$\dfrac{\sqrt{2}}{2}$ -041171 -20240603 2026届高一01班 0.868 +024283 +$\dfrac{\sqrt{15}}{3}$ +024284 +$\dfrac{2\pi}{3}$ -041173 -20240603 2026届高一01班 0.921 +019976 +$\sqrt{3}$ +014717 +$0.3$ -041174 -20240603 2026届高一01班 0.658 +024285 +$5$ +024286 +$\dfrac{3}{2}$ -041175 -20240603 2026届高一01班 0.947 +024287 +C +024288 +A -041176 -20240603 2026届高一01班 0.921 +004166 +$4$ +004168 +$2\sin{\dfrac{\pi}{4} x} $ -040300 -20240603 2026届高一01班 0.763 +023054 +$3\pi$ +024289 +$\dfrac{2}{\pi}$ -023654 -20240603 2026届高一01班 0.947 +004170 +$\dfrac{1}{2}$ +024290 +A -041191 -20240603 2026届高一01班 0.921 +004176 +D +030621 +$[0,\dfrac{3}{2}]$ -041192 -20240603 2026届高一01班 0.842 +024291 +$3$ +030974 +$1$ -041193 -20240603 2026届高一01班 0.684 +024292 +$0.42$ +030929 +$2$ -041194 -20240603 2026届高一01班 0.921 +024293 +$[\mathrm{e}+1,+\infty)$ +024294 +$18$ -041177 -20240603 2026届高一01班 0.868 +030641 +$[-1,+\infty)$ +024295 +A -041178 -20240603 2026届高一01班 0.868 0.868 +030993 +A +030972 +$-1+\mathrm{i}$ -024850 -20240603 2026届高一01班 0.974 0.816 0.947 0.842 0.605 1.000 0.921 0.421 +030624 +$(1,4)$ +030838 +$45$ -041197 -20240603 2026届高一01班 0.658 0.895 0.737 0.789 +030743 +$4$ +030762 +$-\dfrac{7}{25}$ -041168 -20240603 2026届高一02班 0.700 +024296 +$(2,+\infty)$ +014713 +$\dfrac{1}{4}$ -041170 -20240603 2026届高一02班 0.975 +031123 +$y^2=\pm 3x$ +030990 +A -041171 -20240603 2026届高一02班 0.900 +024297 +C +004724 +$(0,1)$ -041173 -20240603 2026届高一02班 0.950 +004726 +$2$ +004727 +$180$ -041174 -20240603 2026届高一02班 0.850 +004728 +$12\pi$ +024298 +$0.4$ -041175 -20240603 2026届高一02班 0.900 +024299 +$m \geq -3$ +024300 +$-11$ -041176 -20240603 2026届高一02班 0.875 +004736 +A +004737 +B -040300 -20240603 2026届高一02班 0.975 +024301 +$\{1\}$ +024302 +$-2$ -023654 -20240603 2026届高一02班 0.975 +024303 +$1$ +024304 +$1$ -041191 -20240603 2026届高一02班 0.825 +024305 +$0$ +017611 +$\dfrac{1}{2}$ -041192 -20240603 2026届高一02班 0.975 +023955 +$12\pi$ +024306 +$\hat{y}=3x-3$ -041193 -20240603 2026届高一02班 0.650 +024307 +D +024308 +B -041194 -20240603 2026届高一02班 0.700 +024309 +$[-1,3)$ +024185 +$\dfrac{1}{3}$ -041177 -20240603 2026届高一02班 0.800 +024310 +$9$ +012457 +$2\sqrt{3}$ -041178 -20240603 2026届高一02班 0.875 0.850 +024214 +$\dfrac{16}{9}$ +031718 +$-\dfrac{21}{2}$ -024850 -20240603 2026届高一02班 0.975 0.900 0.900 0.975 0.800 0.975 1.000 0.475 +024176 +$\dfrac{1}{169}$ +031139 +C -041197 -20240603 2026届高一02班 0.800 0.900 0.825 0.925 +024311 +D +030964 +$\sqrt{10}$ -041168 -20240603 2026届高一03班 0.810 +030620 +$[1,2)$ +030758 +$-2$ -041170 -20240603 2026届高一03班 1.000 +024312 +$\dfrac{1}{\mathrm{e}}$ +024313 +$\mathrm{e}$ -041171 -20240603 2026届高一03班 0.881 +031121 +$5$ +030858 +$8$ -041173 -20240603 2026届高一03班 0.976 +024314 +$\dfrac{1}{4}$ +030645 +D -041174 -20240603 2026届高一03班 0.786 +031140 +C +024315 +$(2,3)$ -041175 -20240603 2026届高一03班 0.952 +024316 +$y=3x-2$ +024317 +$22$ -041176 -20240603 2026届高一03班 0.762 +023957 +$8$ +024318 +$6.51$ -040300 -20240603 2026届高一03班 0.905 +024319 +$(0,\dfrac{1}{4}$ +024320 +$\dfrac{11}{16}$ -023654 -20240603 2026届高一03班 0.929 +024321 +A +024322 +D -041191 -20240603 2026届高一03班 0.786 +024323 +$\{1\}$ +024324 +$1-\mathrm{i}$ -041192 -20240603 2026届高一03班 0.976 +024325 +$1$ +024326 +$160$ -041193 -20240603 2026届高一03班 0.619 +024327 +$2$ +024328 +$-3$ -041194 -20240603 2026届高一03班 0.833 +023939 +$\pi : 4$ +024329 +$\dfrac{2}{9}$ -041177 -20240603 2026届高一03班 0.857 +024330 +A +024331 +B -041178 -20240603 2026届高一03班 0.929 0.857 +030615 +$\{0,1,2\}$ +030966 +$\sqrt{5}$ -024850 -20240603 2026届高一03班 1.000 0.952 0.976 0.905 0.833 0.952 0.952 0.714 +030760 +$\dfrac{1}{2}$ +024332 +$\dfrac{1}{x-1}$ -041197 -20240603 2026届高一03班 0.833 0.714 0.714 0.857 +024333 +$5$ +024334 +$\dfrac{2}{5}$ -041168 -20240603 2026届高一04班 0.771 +031000 +$\arccos{\dfrac{\sqrt{10}}{10}}$ +024335 +$\dfrac{8}{3}$ -041170 -20240603 2026届高一04班 0.943 +030674 +B +030637 +$(-2,1)$ -041171 -20240603 2026届高一04班 0.943 +030839 +$8$ +024336 +$(-\infty,-1],[1,+\infty)$ -041173 -20240603 2026届高一04班 0.829 +024337 +$60$ +024338 +$\dfrac{1}{3}$ -041174 -20240603 2026届高一04班 0.714 +030888 +$1$ +024339 +$\dfrac{11}{126}$ -041175 -20240603 2026届高一04班 0.914 +030979 +B +030652 +A -041176 -20240603 2026届高一04班 0.886 +024340 +$4$ +024341 +$0.6$ -040300 -20240603 2026届高一04班 0.886 +024342 +$(0,1]$ +024343 +$0$ -023654 -20240603 2026届高一04班 0.914 +024344 +$1$ +024345 +$\dfrac{\pi}{3}$ -041191 -20240603 2026届高一04班 0.914 +024346 +$\sqrt{41}$ +024347 +$\dfrac{20}{21}$ -041192 -20240603 2026届高一04班 0.800 +024348 +B +004177 +B -041193 -20240603 2026届高一04班 0.629 +030597 +$0$ +030973 +$1$ -041194 -20240603 2026届高一04班 0.914 +030850 +$3$ +024349 +$-32$ -041177 -20240603 2026届高一04班 0.771 +030999 +$\sqrt{2}$ +024350 +$1$ -041178 -20240603 2026届高一04班 0.943 0.914 +024351 +$\dfrac{3}{5}$ +030775 +$[-\dfrac{\pi}{3},\dfrac{\pi}{6}]$ -024850 -20240603 2026届高一04班 0.971 0.857 0.857 0.771 0.629 0.971 0.886 0.514 +031106 +C +030991 +B -041197 -20240603 2026届高一04班 0.657 0.771 0.800 0.829 +030618 +$[0,2]$ +024352 +$y=x+2$ -041168 -20240603 2026届高一05班 0.897 +024353 +$[-1,1]$ +031095 +$3$ -041170 -20240603 2026届高一05班 0.974 +024354 +$-3$或$\dfrac{10}{3}$ +031069 +$\sqrt{2}$ -041171 -20240603 2026届高一05班 0.795 +024355 +$\dfrac{1}{9}$ +024356 +$0.49$ -041173 -20240603 2026届高一05班 0.974 +024357 +C +030944 +A -041174 -20240603 2026届高一05班 0.846 +024358 +$\{-1,0,1\}$ +024359 +$\sqrt{2}$ -041175 -20240603 2026届高一05班 0.949 +011243 +$-2$ +024360 +$-\dfrac{2}{3}$ -041176 -20240603 2026届高一05班 0.897 +024361 +$20$ +024362 +$\dfrac{4}{3}$ -040300 -20240603 2026届高一05班 0.923 +011248 +$\{3,\dfrac{\sqrt{3}}{9} \}$ +011249 +$140$ -023654 -20240603 2026届高一05班 0.923 +011254 +B +024363 +C -041191 -20240603 2026届高一05班 0.974 +030605 +$\{3,5\}$ +030965 +$\sqrt{5}$ -041192 -20240603 2026届高一05班 0.923 +024364 +$1$ +024365 +$36$ -041193 -20240603 2026届高一05班 0.769 +024366 +$\dfrac{45\pi}{2}$ +024367 +$\dfrac{2}{3}$ -041194 -20240603 2026届高一05班 0.846 +011628 +$-160$ +024368 +$0.98$ -041177 -20240603 2026届高一05班 0.872 +030644 +A +024369 +B -041178 -20240603 2026届高一05班 0.897 0.846 +024370 +$(2,3)$ +024371 +$-1-\sqrt{3}\mathrm{i}$ -024850 -20240603 2026届高一05班 0.949 0.718 0.923 0.846 0.718 0.949 0.974 0.538 +024372 +$3$ +024373 +$8$ -041197 -20240603 2026届高一05班 0.667 0.872 0.795 0.872 +024374 +$\dfrac{5}{12}$ +024375 +$-\mathrm{e}^{-x}$ -041168 -20240603 2026届高一06班 0.914 +024376 +$3$ +024377 +$\dfrac{\sqrt{5}-1}{2}$ -041170 -20240603 2026届高一06班 0.971 +024378 +B +024379 +D -041171 -20240603 2026届高一06班 0.971 +024380 +$(-3,1)$ +024381 +$\sqrt{2}$ -041173 -20240603 2026届高一06班 0.971 +024382 +$0$ +024383 +$4$ -041174 -20240603 2026届高一06班 0.943 +031020 +$16$ +024384 +$-14$ -041175 -20240603 2026届高一06班 0.771 +024385 +$-\dfrac{1}{2}$ +024386 +C -041176 -20240603 2026届高一06班 0.857 +024387 +D +024388 +$\{0,1\}$ -040300 -20240603 2026届高一06班 0.886 +024389 +$6$ +030757 +$\dfrac{4}{5}$ -023654 -20240603 2026届高一06班 0.943 +004230 +$\sqrt{3}$ +024390 +$-18$ -041191 -20240603 2026届高一06班 0.914 +024391 +$\dfrac{\pi}{4}$ +024392 +$\dfrac{2\pi}{3}$ -041192 -20240603 2026届高一06班 0.886 +024393 +$7$ +024394 +B -041193 -20240603 2026届高一06班 0.657 +024395 +A +030599 +$\{1\}$ -041194 -20240603 2026届高一06班 0.857 +024396 +$2\sqrt{3}$ +024397 +$\pm \dfrac{1}{2}$ -041177 -20240603 2026届高一06班 0.829 +024398 +$[-\sqrt{5},\sqrt{5}]$ +024399 +$\dfrac{4}{7}$ -041178 -20240603 2026届高一06班 0.886 0.857 +024400 +$y=2x$ +024401 +$-2$ -024850 -20240603 2026届高一06班 1.000 0.971 0.886 0.886 0.714 0.971 0.943 0.514 +030933 +$[-1,5]$ +024402 +B -041197 -20240603 2026届高一06班 0.886 0.886 0.743 0.943 +031003 +D +024403 +$(-\infty,1)\cup(3,+\infty)$ -041168 -20240603 2026届高一07班 0.778 +024404 +$-\dfrac{1}{4}$ +024405 +$5$ -041170 -20240603 2026届高一07班 0.944 +024406 +$36\pi$ +024407 +$\dfrac{1}{2}$ -041171 -20240603 2026届高一07班 0.861 +024408 +$\dfrac{10}{9}$ +024409 +$219$ -041173 -20240603 2026届高一07班 0.917 +031072 +$\sqrt{6}$ +024410 +B -041174 -20240603 2026届高一07班 0.778 +024411 +C +024412 +$\{-2,-1,0\}$ -041175 -20240603 2026届高一07班 0.889 +030659 +$[6,+\infty)$ +024413 +$64$ -041176 -20240603 2026届高一07班 0.889 +024414 +$\dfrac{2}{3}$ +011267 +$4$ -040300 -20240603 2026届高一07班 0.944 +024415 +$0.3$ +024416 +$\sqrt{3}$ -023654 -20240603 2026届高一07班 0.972 +ans +041065 +$1$ -041191 -20240603 2026届高一07班 0.944 +041066 +$\sqrt{5}$ +041067 +$\dfrac{x^2}{25}+\dfrac{y^2}{16}=1$ -041192 -20240603 2026届高一07班 0.917 +041068 +$10$或$\dfrac{40}{3}$ +041069 +$\sqrt{3}$ -041193 -20240603 2026届高一07班 0.778 +041070 +$ab$ +041071 +(1)$\dfrac{x^2}{4}+y^2=1$\\ +(2)$x=-\dfrac65$或$x-y+\dfrac65=0$ -041194 -20240603 2026届高一07班 0.889 +041072 +(1)$a=1,b=2\sqrt{2}$\\ +(2)略 +024284 +$\dfrac{2\pi}{3}$ -041177 -20240603 2026届高一07班 0.722 +041163 +$y=1$ +024327 +$2$ -041178 -20240603 2026届高一07班 0.778 0.861 +041164 +$AB//\alpha$或$AB\subset \alpha$ +019492 +$40$ -024850 -20240603 2026届高一07班 1.000 0.889 0.861 0.861 0.750 0.944 0.944 0.611 +041165 +$\dfrac{\sqrt{5}}{5}$ +041166 +$\dfrac{3}{2015}$ -041197 -20240603 2026届高一07班 0.778 0.639 0.722 0.778 +041167 +(1)略\\(2)$\arcsin{\dfrac{\sqrt{10}}5}$\\(3)$\dfrac{\sqrt{3}}{3}$ +041179 +$\sqrt{2}$ -041168 -20240603 2026届高一08班 0.854 +041180 +$-1$ +003767 +$50$ -041170 -20240603 2026届高一08班 0.976 +013219 +$14.37$ +041181 +$\dfrac43$ -041171 -20240603 2026届高一08班 0.951 +041182 +$2^n-1$ +041183 +$x=-2$ -041173 -20240603 2026届高一08班 0.976 +041184 +$\dfrac{10}{21}$ +041185 +$3\sqrt{2}$ -041174 -20240603 2026届高一08班 0.756 +041186 +$2019$ +032153 +B -041175 -20240603 2026届高一08班 1.000 +019628 +B +041187 +D -041176 -20240603 2026届高一08班 0.829 +041188 +B +013195 +(1)略\\(2)$\dfrac12$\\(3)$2$ -040300 -20240603 2026届高一08班 0.854 +041189 +(1)公比为$2$\\(2)$15$ +041190 +(1)$x^2-y^2+2y=0(y>0)$\\(2)$x-2y+3=0$，面积最小值为$3$\\(3)$(2\sqrt{2},4\sqrt{2}]$ -023654 -20240603 2026届高一08班 1.000 +041210 +$1$ +041211 +$e^x+xe^x$ -041191 -20240603 2026届高一08班 0.927 +041212 +$0$ +041213 +$\sqrt12$ -041192 -20240603 2026届高一08班 0.902 +041214 +A +041215 +C -041193 -20240603 2026届高一08班 0.707 +041216 +(1)$y=2x$\\(2)$y=-x+2$ +041217 +(1)$a=2,b=1$\\(2)投资$3$万元A商品，$2$万元B商品 -041194 -20240603 2026届高一08班 0.927 +041218 +(1)$-\dfrac{11}{8}-\ln{4}$\\(2)$00$, $b>0$ + 能使函数 $f(x)$ 与 $g(x)$ 在区间 $(0,+\infty)$ 内存在``$\mathrm{S}$ 点'' +041207 +(1)$y=\frac{4}{3}x-\frac{8}{3}+ln3$;(2)当$a\leq0$时，严曾区间为$(\sqrt{1-a},+\infty)$;当$00)$\\(2)$x-2y+3=0$，面积最小值为$3$\\(3)$(2\sqrt{2},4\sqrt{2}]$ -021395 -20240531 2026届高一12班 1.000 +041210 +$1$ +041211 +$e^x+xe^x$ -021396 -20240531 2026届高一12班 0.927 +041212 +$0$ +041213 +$\sqrt12$ -021397 -20240531 2026届高一12班 0.951 +041214 +A +041215 +C -021398 -20240531 2026届高一12班 1.000 0.927 0.951 +041216 +(1)$y=2x$\\(2)$y=-x+2$ +041217 +(1)$a=2,b=1$\\(2)投资$3$万元A商品，$2$万元B商品 -021399 -20240531 2026届高一12班 1.000 0.902 0.976 1.000 +041218 +(1)$-\dfrac{11}{8}-\ln{4}$\\(2)$00$, $b>0$ + 能使函数 $f(x)$ 与 $g(x)$ 在区间 $(0,+\infty)$ 内存在``$\mathrm{S}$ 点'' -021395 -20240531 2026届高一03班 0.850 +041207 +(1)$y=\frac{4}{3}x-\frac{8}{3}+ln3$;(2)当$a\leq0$时，严曾区间为$(\sqrt{1-a},+\infty)$;当$0 Date: Sat, 8 Jun 2024 00:07:32 +0800 Subject: [PATCH 5/5] =?UTF-8?q?=E4=BD=BF=E7=94=A8=E8=AE=B0=E5=BD=95?= =?UTF-8?q?=E6=88=AA=E8=87=B320240607?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具v4/文本文件/metadata.txt | 1739 +++++++++++++--------------------- 1 file changed, 663 insertions(+), 1076 deletions(-) diff --git a/工具v4/文本文件/metadata.txt b/工具v4/文本文件/metadata.txt index 319713b6..b33a358c 100644 --- a/工具v4/文本文件/metadata.txt +++ b/工具v4/文本文件/metadata.txt @@ -1,1595 +1,1182 @@ -ans +usages -032149 -$32$ -032159 -${2}$ +021421 +20240606 2026届高一10班 0.921 -032160 -$(-\infty,-1)\cup (1,+\infty)$ -032161 -$48.5$ +021422 +20240606 2026届高一10班 0.842 -032162 -$4-3\mathrm{i}$ -032163 -$\frac{13}{4}$ +021423 +20240606 2026届高一10班 0.526 -032164 -$35$ -032165 -$\dfrac{24}{7}$ +021426 +20240606 2026届高一10班 0.895 -032166 -$12$ -032167 -$(-1,1)$ +021427 +20240606 2026届高一10班 0.868 -032168 -$\dfrac{3}{5}$ -032169 -$[\sqrt{2},+\infty)$ +024852 +20240606 2026届高一10班 0.526 -032170 -$-5$ -032171 -D +021424 +20240606 2026届高一10班 0.684 -032172 -B -032173 -C +024853 +20240606 2026届高一10班 0.632 -032174 -B -032175 -$(1)\dfrac{2\sqrt{2}\pi}{3};\quad(2)\mathrm{arctan}\dfrac{\sqrt{13}}{13}$ +021421 +20240606 2026届高一11班 0.971 -032176 -$(1)\dfrac{\pi}{6};\quad(2)\sqrt{7}$ -032177 -$(1)\chi^2 \approx 35.428; \quad (2)\dfrac{705}{833}$ +021422 +20240606 2026届高一11班 1.000 -032178 -$(1)|PF|=\dfrac{15}{14}; \quad (2) k_{PM}=-\dfrac{\sqrt{5}}{2}; \quad (3)(\dfrac{11}{7},\dfrac{15}{14})$ -032179 -(1)具有性质$P$,理由略; $\quad$ (2)$(-\infty,0); \quad$ (3)具有性质$P$,所有公差的取值集合为$\{1,2\}$ +021423 +20240606 2026届高一11班 0.857 -032184 -$\dfrac{2}{3}$ -032185 -$(-\dfrac{6}{5},-\dfrac{3}{5})$ +021426 +20240606 2026届高一11班 0.943 -032186 -$\{0,\dfrac{\sqrt{3}}{2},-\dfrac{\sqrt{3}}{2}\}$ -032187 -C +021427 +20240606 2026届高一11班 0.914 -032188 -A -030993 -A +024852 +20240606 2026届高一11班 0.714 -032189 -B -032190 -(1)证明略; $\quad$ (2)正切值为$\dfrac{\sqrt{5}}{5}$ +021424 +20240606 2026届高一11班 0.171 -032191 -(1)$2\sqrt{6}$; $\quad$ (2)$(\dfrac{1}{2},\dfrac{\sqrt{2}}{2})$ -032192 -(1)$300$; $\quad$ (2)$0.8186$; $\quad$ (3)$Y \sim \begin{pmatrix} 0 & 1 & 2 & 3 \\ \dfrac{1}{20} & \dfrac{9}{20} & \dfrac{9}{20} & \dfrac{1}{20} \end{pmatrix},E[Y]=\dfrac{3}{2}$ +024853 +20240606 2026届高一11班 0.886 -032193 -(1)$\dfrac{\sqrt{6}}{3}$; $\quad$ (2)$\dfrac{4}{3}$或$\dfrac{4\sqrt{6}}{9}$ $\quad$(3)$P(1,1)$ -032194 -(1)$a=1$; $\quad$ (2)存在; $\quad$ (3)不存在 +021421 +20240606 2026届高一12班 0.897 -032200 -$-1$ -032201 -$\{0,1,2\}$ +021422 +20240606 2026届高一12班 0.897 -032202 -$-1$ -032203 -$24$ +021423 +20240606 2026届高一12班 0.538 -032204 -$10$ -032205 -$1-\mathrm{e}$ +021426 +20240606 2026届高一12班 0.923 -032206 -$\pm \dfrac{5}{2}$ -032207 -$\dfrac{6}{7}$ +021427 +20240606 2026届高一12班 0.974 -032208 -$\dfrac{\sqrt{5}}{3}$ -032209 -$(-3,-\dfrac{1}{3}$ +024852 +20240606 2026届高一12班 0.795 -032210 -$195$ -032211 -D +021424 +20240606 2026届高一12班 0.538 -032212 -C -032213 -C +024853 +20240606 2026届高一12班 0.795 -032214 -A -032215 -(1)证明略; $\quad$ (2)$\dfrac{2\sqrt{5}}{5}$ +021421 +20240606 2026届高一01班 0.900 -004285 -(1)$f_{\mathrm{max}}(x)=3, T=\pi$; $\quad$ (2)$\dfrac{\sqrt{3}}{4}$ -032216 -(1)$\sqrt{3}$; $\quad$ (2)证明略; $\quad$ (3)$m=\sqrt{14}$时$P(-\dfrac{6\sqrt{14}}{7},0)$,$\quad$ $m=-\sqrt{14}$时$P(\dfrac{6\sqrt{14}}{7},0)$ +021422 +20240606 2026届高一01班 0.725 -032217 -(1)$m \geq 1$; $\quad$ (2)存在, 如$a_n=n\pi$(满足$\sin{a_n}=0$或者$\cos{d}=1$的数列$\{a_n\}$，只要不是常数列，都可以，其余数列不行)； $\quad$ (3)$(k,b)=(-1,1)$或$(\dfrac{1}{2},\dfrac{2\pi}{3}-\dfrac{\sqrt{3}}{2})$ -032437 -$2$ +021423 +20240606 2026届高一01班 0.575 -014707 -$3$ -030772 -$\pi$ +021426 +20240606 2026届高一01班 0.950 -032438 -$15$ -032439 -$10$ +021427 +20240606 2026届高一01班 0.925 -032440 -$9$ -032441 -$\dfrac{2}{3}$ +024852 +20240606 2026届高一01班 0.575 -032442 -$\dfrac{3}{2}$ -032443 -$\dfrac{1}{3}$ +021424 +20240606 2026届高一01班 0.100 -032444 -$\dfrac{\sqrt{5}}{2}$ -032445 -$(-\infty,-2] \cup [-\dfrac{1}{2},+\infty)$ +024853 +20240606 2026届高一01班 0.500 -032446 -{50,55} -032447 -D +021421 +20240606 2026届高一02班 0.925 -031003 -D -032448 -A +021422 +20240606 2026届高一02班 0.900 -032449 -D -032450 -(1)$\dfrac{\pi}{3}$; $\quad$ (2)$3+\sqrt{3}$ +021423 +20240606 2026届高一02班 0.800 -032451 -(1)$\arccos{\dfrac{\sqrt{5}}{10}}$(即$\arctan{\sqrt{19}}$或$\arcsin{\dfrac{19\sqrt{5}}{10}}$); $\quad$ (2) $\dfrac{6}{5}$ -032452 -(1)$\chi^2 \approx 3.414$,这两类人群的性别没有显著差异; $\quad$ (2)$9$人 +021426 +20240606 2026届高一02班 0.900 -032453 -(1)$(-1,-\dfrac{8}{3})$; $\quad$ (2) $y=\dfrac{4}{3}x+\dfrac{2}{3}$或$y=\dfrac{2}{3}x+\dfrac{4}{3}$; $\quad$ (3)$|PR|=\dfrac{4(s+1)\sqrt{s+1}}{s}$, $|PR|_\mathrm{min}=6\sqrt{3}$ -032454 -(1)$-3,-2,-1,0,1$; $\quad$ (2)证明略; $\quad$ (3)$f(x_0) < 0, a\in [-\dfrac{\mathrm{e}}{\mathrm{e}+1},0)$ +021427 +20240606 2026届高一02班 1.000 -032234 -$(1,4)$ -032235 -$x=-2$ +024852 +20240606 2026届高一02班 0.725 -032236 -$\dfrac{1-\mathrm{i}}{2}$ -032237 -$\dfrac{7}{9}$ +021424 +20240606 2026届高一02班 0.150 -032238 -$45$ -032239 -$2^n$ +024853 +20240606 2026届高一02班 0.875 -032240 -$\dfrac{\pi}{4}$ -032241 -$(0,1)$ +021421 +20240606 2026届高一03班 0.923 -032242 -$2$ -032243 -$60$ +021422 +20240606 2026届高一03班 0.744 -032244 -$134$ -032245 -$(\arccos{\dfrac{1}{8}},\pi)$ +021423 +20240606 2026届高一03班 0.590 -032246 -D -032247 -C +021426 +20240606 2026届高一03班 0.795 -032248 -B -032249 -C +021427 +20240606 2026届高一03班 0.897 -032250 -(1)证明略; $\quad$ (2)$2\sqrt{2}$ -032251 -(1)不是奇函数也不是偶函数; $\quad$ (2)$c=\dfrac{3\sqrt{3} \pm \sqrt{7}}{2}$ +024852 +20240606 2026届高一03班 0.615 -032252 -(1)$88.5$; $\quad$ (2) $\dfrac{1}{20}$; $\quad$ (3)$\chi^2 \approx 7.62$,有$95\%$的把握认为两种生产方式的工作效率有显著差异 -032253 -(1)$\dfrac{x^2}{4}+y^2=1$; $\quad$ (2)$G(-\dfrac{4}{3},\dfrac{1}{3}$; $\quad$ (3)$x+2y=0$ +021424 +20240606 2026届高一03班 0.179 -032254 -(1)证明略; $\quad$ (2)$[-1,+\infty)$; (3)证明略 -024274 -$(-1,2)$ +024853 +20240606 2026届高一03班 0.769 -024275 -$2+\mathrm{i}$ -024276 -$\dfrac{9}{2}$ +021421 +20240606 2026届高一04班 0.921 -017614 -$-\dfrac{7}{25}$ -024277 -$\dfrac{7}{2}$ +021422 +20240606 2026届高一04班 0.816 -024278 -$-\dfrac{1}{2\mathrm{e}}$ -024279 -$-160$ +021423 +20240606 2026届高一04班 0.474 -011354 -$\dfrac{16}{51}$ -024217 -A +021426 +20240606 2026届高一04班 0.789 -024280 -D -024281 -$(-1,4)$ +021427 +20240606 2026届高一04班 0.921 -024282 -$\dfrac{\sqrt{2}}{2}$ -024283 -$\dfrac{\sqrt{15}}{3}$ +024852 +20240606 2026届高一04班 0.632 -024284 -$\dfrac{2\pi}{3}$ -019976 -$\sqrt{3}$ +021424 +20240606 2026届高一04班 0.053 -014717 -$0.3$ -024285 -$5$ +024853 +20240606 2026届高一04班 0.895 -024286 -$\dfrac{3}{2}$ -024287 -C +021421 +20240606 2026届高一05班 0.947 -024288 -A -004166 -$4$ +021422 +20240606 2026届高一05班 0.921 -004168 -$2\sin{\dfrac{\pi}{4} x} $ -023054 -$3\pi$ +021423 +20240606 2026届高一05班 0.605 -024289 -$\dfrac{2}{\pi}$ -004170 -$\dfrac{1}{2}$ +021426 +20240606 2026届高一05班 0.868 -024290 -A -004176 -D +021427 +20240606 2026届高一05班 0.974 -030621 -$[0,\dfrac{3}{2}]$ -024291 -$3$ +024852 +20240606 2026届高一05班 0.868 -030974 -$1$ -024292 -$0.42$ +021424 +20240606 2026届高一05班 0.105 + + +024853 +20240606 2026届高一05班 0.553 + + +021421 +20240606 2026届高一06班 0.857 + + +021422 +20240606 2026届高一06班 0.914 + + +021423 +20240606 2026届高一06班 0.714 + + +021426 +20240606 2026届高一06班 0.943 + + +021427 +20240606 2026届高一06班 0.914 + + +024852 +20240606 2026届高一06班 0.714 + + +021424 +20240606 2026届高一06班 0.143 + + +024853 +20240606 2026届高一06班 0.743 + + +021421 +20240606 2026届高一07班 0.949 + + +021422 +20240606 2026届高一07班 0.821 + + +021423 +20240606 2026届高一07班 0.564 + + +021426 +20240606 2026届高一07班 0.897 + + +021427 +20240606 2026届高一07班 0.974 + + +024852 +20240606 2026届高一07班 0.410 + + +021424 +20240606 2026届高一07班 0.179 + + +024853 +20240606 2026届高一07班 0.590 + + +021421 +20240606 2026届高一08班 0.951 + + +021422 +20240606 2026届高一08班 0.829 + + +021423 +20240606 2026届高一08班 0.610 + + +021426 +20240606 2026届高一08班 0.854 + + +021427 +20240606 2026届高一08班 0.927 + + +024852 +20240606 2026届高一08班 0.585 + + +021424 +20240606 2026届高一08班 0.976 + + +024853 +20240606 2026届高一08班 0.878 + + +021421 +20240606 2026届高一09班 0.944 + + +021422 +20240606 2026届高一09班 0.944 + + +021423 +20240606 2026届高一09班 0.722 + + +021426 +20240606 2026届高一09班 0.972 + + +021427 +20240606 2026届高一09班 0.861 + + +024852 +20240606 2026届高一09班 0.694 + + +021424 +20240606 2026届高一09班 0.139 + + +024853 +20240606 2026届高一09班 0.389 + +usages + + +021403 +20240607 2026届高一10班 0.950 + + +024855 +20240607 2026届高一10班 0.875 + + +024854 +20240607 2026届高一10班 0.525 -030929 -$2$ 024293 -$[\mathrm{e}+1,+\infty)$ +20240607 2026届高一10班 0.475 -024294 -$18$ -030641 -$[-1,+\infty)$ +024150 +20240607 2026届高一10班 0.875 -024295 -A -030993 -A +024856 +20240607 2026届高一10班 0.525 -030972 -$-1+\mathrm{i}$ -030624 -$(1,4)$ +017410 +20240607 2026届高一10班 0.925 -030838 -$45$ -030743 -$4$ +019114 +20240607 2026届高一10班 0.550 0.825 -030762 -$-\dfrac{7}{25}$ -024296 -$(2,+\infty)$ +021403 +20240607 2026届高一11班 0.925 -014713 -$\dfrac{1}{4}$ -031123 -$y^2=\pm 3x$ +024855 +20240607 2026届高一11班 0.950 -030990 -A -024297 -C +024854 +20240607 2026届高一11班 0.800 -004724 -$(0,1)$ -004726 -$2$ +024293 +20240607 2026届高一11班 0.475 -004727 -$180$ -004728 -$12\pi$ +024150 +20240607 2026届高一11班 0.700 -024298 -$0.4$ -024299 -$m \geq -3$ +024856 +20240607 2026届高一11班 0.575 -024300 -$-11$ -004736 -A +017410 +20240607 2026届高一11班 0.825 -004737 -B -024301 -$\{1\}$ +019114 +20240607 2026届高一11班 0.625 0.500 -024302 -$-2$ -024303 -$1$ +021403 +20240607 2026届高一12班 0.927 -024304 -$1$ -024305 -$0$ +024855 +20240607 2026届高一12班 1.000 -017611 -$\dfrac{1}{2}$ -023955 -$12\pi$ +024854 +20240607 2026届高一12班 0.707 -024306 -$\hat{y}=3x-3$ -024307 -D +024293 +20240607 2026届高一12班 0.634 -024308 -B -024309 -$[-1,3)$ +024150 +20240607 2026届高一12班 0.780 -024185 -$\dfrac{1}{3}$ -024310 -$9$ +024856 +20240607 2026届高一12班 0.805 -012457 -$2\sqrt{3}$ -024214 -$\dfrac{16}{9}$ +017410 +20240607 2026届高一12班 0.927 -031718 -$-\dfrac{21}{2}$ -024176 -$\dfrac{1}{169}$ +019114 +20240607 2026届高一12班 0.829 0.829 -031139 -C -024311 -D +021403 +20240607 2026届高一01班 0.951 -030964 -$\sqrt{10}$ -030620 -$[1,2)$ +024855 +20240607 2026届高一01班 0.951 -030758 -$-2$ -024312 -$\dfrac{1}{\mathrm{e}}$ +024854 +20240607 2026届高一01班 0.561 -024313 -$\mathrm{e}$ -031121 -$5$ +024293 +20240607 2026届高一01班 0.317 -030858 -$8$ -024314 -$\dfrac{1}{4}$ +024150 +20240607 2026届高一01班 0.610 -030645 -D -031140 -C +024856 +20240607 2026届高一01班 0.537 -024315 -$(2,3)$ -024316 -$y=3x-2$ +017410 +20240607 2026届高一01班 0.780 -024317 -$22$ -023957 -$8$ +019114 +20240607 2026届高一01班 0.732 0.854 -024318 -$6.51$ -024319 -$(0,\dfrac{1}{4}$ +021403 +20240607 2026届高一02班 0.762 -024320 -$\dfrac{11}{16}$ -024321 -A +024855 +20240607 2026届高一02班 0.929 -024322 -D -024323 -$\{1\}$ +024854 +20240607 2026届高一02班 0.571 -024324 -$1-\mathrm{i}$ -024325 -$1$ +024293 +20240607 2026届高一02班 0.548 -024326 -$160$ -024327 -$2$ +024150 +20240607 2026届高一02班 0.619 -024328 -$-3$ -023939 -$\pi : 4$ +024856 +20240607 2026届高一02班 0.429 -024329 -$\dfrac{2}{9}$ -024330 -A +017410 +20240607 2026届高一02班 0.810 -024331 -B -030615 -$\{0,1,2\}$ +019114 +20240607 2026届高一02班 0.643 0.595 -030966 -$\sqrt{5}$ -030760 -$\dfrac{1}{2}$ +021403 +20240607 2026届高一03班 0.951 -024332 -$\dfrac{1}{x-1}$ -024333 -$5$ +024855 +20240607 2026届高一03班 0.927 -024334 -$\dfrac{2}{5}$ -031000 -$\arccos{\dfrac{\sqrt{10}}{10}}$ +024854 +20240607 2026届高一03班 0.537 -024335 -$\dfrac{8}{3}$ -030674 -B +024293 +20240607 2026届高一03班 0.610 -030637 -$(-2,1)$ -030839 -$8$ +024150 +20240607 2026届高一03班 0.829 -024336 -$(-\infty,-1],[1,+\infty)$ -024337 -$60$ +024856 +20240607 2026届高一03班 0.561 -024338 -$\dfrac{1}{3}$ -030888 -$1$ +017410 +20240607 2026届高一03班 0.854 -024339 -$\dfrac{11}{126}$ -030979 -B +019114 +20240607 2026届高一03班 0.537 0.732 -030652 -A -024340 -$4$ +021403 +20240607 2026届高一04班 0.929 -024341 -$0.6$ -024342 -$(0,1]$ +024855 +20240607 2026届高一04班 0.952 -024343 -$0$ -024344 -$1$ +024854 +20240607 2026届高一04班 0.667 -024345 -$\dfrac{\pi}{3}$ -024346 -$\sqrt{41}$ +024293 +20240607 2026届高一04班 0.429 -024347 -$\dfrac{20}{21}$ -024348 -B +024150 +20240607 2026届高一04班 0.690 -004177 -B -030597 -$0$ +024856 +20240607 2026届高一04班 0.476 -030973 -$1$ -030850 -$3$ +017410 +20240607 2026届高一04班 0.810 -024349 -$-32$ -030999 -$\sqrt{2}$ +019114 +20240607 2026届高一04班 0.619 0.476 -024350 -$1$ -024351 -$\dfrac{3}{5}$ +021403 +20240607 2026届高一05班 0.884 -030775 -$[-\dfrac{\pi}{3},\dfrac{\pi}{6}]$ -031106 -C +024855 +20240607 2026届高一05班 0.884 -030991 -B -030618 -$[0,2]$ +024854 +20240607 2026届高一05班 0.512 -024352 -$y=x+2$ -024353 -$[-1,1]$ +024293 +20240607 2026届高一05班 0.535 -031095 -$3$ -024354 -$-3$或$\dfrac{10}{3}$ +024150 +20240607 2026届高一05班 0.837 -031069 -$\sqrt{2}$ -024355 -$\dfrac{1}{9}$ +024856 +20240607 2026届高一05班 0.488 -024356 -$0.49$ -024357 -C +017410 +20240607 2026届高一05班 0.791 -030944 -A -024358 -$\{-1,0,1\}$ +019114 +20240607 2026届高一05班 0.605 0.860 -024359 -$\sqrt{2}$ -011243 -$-2$ +021403 +20240607 2026届高一06班 0.610 -024360 -$-\dfrac{2}{3}$ -024361 -$20$ +024855 +20240607 2026届高一06班 0.902 -024362 -$\dfrac{4}{3}$ -011248 -$\{3,\dfrac{\sqrt{3}}{9} \}$ +024854 +20240607 2026届高一06班 0.659 -011249 -$140$ -011254 -B +024293 +20240607 2026届高一06班 0.537 -024363 -C -030605 -$\{3,5\}$ +024150 +20240607 2026届高一06班 0.610 -030965 -$\sqrt{5}$ -024364 -$1$ +024856 +20240607 2026届高一06班 0.366 -024365 -$36$ -024366 -$\dfrac{45\pi}{2}$ +017410 +20240607 2026届高一06班 0.707 -024367 -$\dfrac{2}{3}$ -011628 -$-160$ +019114 +20240607 2026届高一06班 0.659 0.707 -024368 -$0.98$ -030644 -A +021403 +20240607 2026届高一07班 0.875 -024369 -B -024370 -$(2,3)$ +024855 +20240607 2026届高一07班 0.825 -024371 -$-1-\sqrt{3}\mathrm{i}$ -024372 -$3$ +024854 +20240607 2026届高一07班 0.250 -024373 -$8$ -024374 -$\dfrac{5}{12}$ +024293 +20240607 2026届高一07班 0.525 -024375 -$-\mathrm{e}^{-x}$ -024376 -$3$ +024150 +20240607 2026届高一07班 0.525 -024377 -$\dfrac{\sqrt{5}-1}{2}$ -024378 -B +024856 +20240607 2026届高一07班 0.325 -024379 -D -024380 -$(-3,1)$ +017410 +20240607 2026届高一07班 0.775 -024381 -$\sqrt{2}$ -024382 -$0$ +019114 +20240607 2026届高一07班 0.350 0.625 -024383 -$4$ -031020 -$16$ +021403 +20240607 2026届高一09班 0.881 -024384 -$-14$ -024385 -$-\dfrac{1}{2}$ +024855 +20240607 2026届高一09班 0.881 -024386 -C -024387 -D +024854 +20240607 2026届高一09班 0.619 -024388 -$\{0,1\}$ -024389 -$6$ +024293 +20240607 2026届高一09班 0.548 -030757 -$\dfrac{4}{5}$ -004230 -$\sqrt{3}$ +024150 +20240607 2026届高一09班 0.714 -024390 -$-18$ -024391 -$\dfrac{\pi}{4}$ +024856 +20240607 2026届高一09班 0.500 -024392 -$\dfrac{2\pi}{3}$ -024393 -$7$ +017410 +20240607 2026届高一09班 0.857 -024394 -B -024395 -A +019114 +20240607 2026届高一09班 0.476 0.571 -030599 -$\{1\}$ +usages -024396 -$2\sqrt{3}$ -024397 -$\pm \dfrac{1}{2}$ +024868 +20240607 2026届高一10班 0.923 0.846 -024398 -$[-\sqrt{5},\sqrt{5}]$ -024399 -$\dfrac{4}{7}$ +024869 +20240607 2026届高一10班 0.667 -024400 -$y=2x$ -024401 -$-2$ +021432 +20240607 2026届高一10班 0.692 -030933 -$[-1,5]$ -024402 -B +024870 +20240607 2026届高一10班 0.615 -031003 -D -024403 -$(-\infty,1)\cup(3,+\infty)$ +021434 +20240607 2026届高一10班 0.795 -024404 -$-\dfrac{1}{4}$ -024405 -$5$ +021435 +20240607 2026届高一10班 0.795 -024406 -$36\pi$ -024407 -$\dfrac{1}{2}$ +021436 +20240607 2026届高一10班 0.949 0.641 -024408 -$\dfrac{10}{9}$ -024409 -$219$ +019099 +20240607 2026届高一10班 0.949 -031072 -$\sqrt{6}$ -024410 -B +019102 +20240607 2026届高一10班 1.000 -024411 -C -024412 -$\{-2,-1,0\}$ +019100 +20240607 2026届高一10班 0.436 -030659 -$[6,+\infty)$ -024413 -$64$ +024868 +20240607 2026届高一11班 0.971 1.000 -024414 -$\dfrac{2}{3}$ -011267 -$4$ +024869 +20240607 2026届高一11班 0.676 -024415 -$0.3$ -024416 -$\sqrt{3}$ +021432 +20240607 2026届高一11班 0.912 -ans -041065 -$1$ +024870 +20240607 2026届高一11班 1.000 -041066 -$\sqrt{5}$ -041067 -$\dfrac{x^2}{25}+\dfrac{y^2}{16}=1$ +021434 +20240607 2026届高一11班 0.765 -041068 -$10$或$\dfrac{40}{3}$ -041069 -$\sqrt{3}$ +021435 +20240607 2026届高一11班 0.853 -041070 -$ab$ -041071 -(1)$\dfrac{x^2}{4}+y^2=1$\\ -(2)$x=-\dfrac65$或$x-y+\dfrac65=0$ +021436 +20240607 2026届高一11班 0.971 0.647 -041072 -(1)$a=1,b=2\sqrt{2}$\\ -(2)略 -024284 -$\dfrac{2\pi}{3}$ +019099 +20240607 2026届高一11班 1.000 -041163 -$y=1$ -024327 -$2$ +019102 +20240607 2026届高一11班 0.912 -041164 -$AB//\alpha$或$AB\subset \alpha$ -019492 -$40$ +019100 +20240607 2026届高一11班 0.676 -041165 -$\dfrac{\sqrt{5}}{5}$ -041166 -$\dfrac{3}{2015}$ +024868 +20240607 2026届高一12班 0.923 0.949 -041167 -(1)略\\(2)$\arcsin{\dfrac{\sqrt{10}}5}$\\(3)$\dfrac{\sqrt{3}}{3}$ -041179 -$\sqrt{2}$ +024869 +20240607 2026届高一12班 0.846 -041180 -$-1$ -003767 -$50$ +021432 +20240607 2026届高一12班 0.923 -013219 -$14.37$ -041181 -$\dfrac43$ +024870 +20240607 2026届高一12班 0.795 -041182 -$2^n-1$ -041183 -$x=-2$ +021434 +20240607 2026届高一12班 0.821 -041184 -$\dfrac{10}{21}$ -041185 -$3\sqrt{2}$ +021435 +20240607 2026届高一12班 0.923 -041186 -$2019$ -032153 -B +021436 +20240607 2026届高一12班 0.974 0.590 -019628 -B -041187 -D +019099 +20240607 2026届高一12班 0.949 -041188 -B -013195 -(1)略\\(2)$\dfrac12$\\(3)$2$ +019102 +20240607 2026届高一12班 1.000 -041189 -(1)公比为$2$\\(2)$15$ -041190 -(1)$x^2-y^2+2y=0(y>0)$\\(2)$x-2y+3=0$，面积最小值为$3$\\(3)$(2\sqrt{2},4\sqrt{2}]$ +019100 +20240607 2026届高一12班 0.538 -041210 -$1$ -041211 -$e^x+xe^x$ +024868 +20240607 2026届高一01班 0.889 0.917 -041212 -$0$ -041213 -$\sqrt12$ +024869 +20240607 2026届高一01班 0.389 -041214 -A -041215 -C +021432 +20240607 2026届高一01班 0.861 -041216 -(1)$y=2x$\\(2)$y=-x+2$ -041217 -(1)$a=2,b=1$\\(2)投资$3$万元A商品，$2$万元B商品 +024870 +20240607 2026届高一01班 0.250 -041218 -(1)$-\dfrac{11}{8}-\ln{4}$\\(2)$00$, $b>0$ - 能使函数 $f(x)$ 与 $g(x)$ 在区间 $(0,+\infty)$ 内存在``$\mathrm{S}$ 点'' +019100 +20240607 2026届高一03班 0.475 -041207 -(1)$y=\frac{4}{3}x-\frac{8}{3}+ln3$;(2)当$a\leq0$时，严曾区间为$(\sqrt{1-a},+\infty)$;当$00)$\\(2)$x-2y+3=0$，面积最小值为$3$\\(3)$(2\sqrt{2},4\sqrt{2}]$ -041210 -$1$ +019102 +20240607 2026届高一05班 1.000 -041211 -$e^x+xe^x$ -041212 -$0$ +019100 +20240607 2026届高一05班 0.353 -041213 -$\sqrt12$ -041214 -A +024868 +20240607 2026届高一06班 0.886 0.857 -041215 -C -041216 -(1)$y=2x$\\(2)$y=-x+2$ +024869 +20240607 2026届高一06班 0.571 -041217 -(1)$a=2,b=1$\\(2)投资$3$万元A商品，$2$万元B商品 -041218 -(1)$-\dfrac{11}{8}-\ln{4}$\\(2)$00$, $b>0$ - 能使函数 $f(x)$ 与 $g(x)$ 在区间 $(0,+\infty)$ 内存在``$\mathrm{S}$ 点'' -041207 -(1)$y=\frac{4}{3}x-\frac{8}{3}+ln3$;(2)当$a\leq0$时，严曾区间为$(\sqrt{1-a},+\infty)$;当$0